On the existence of proper Nearly Kenmotsu manifolds
Differential Geometry
2015-05-21 v1
Abstract
This is an expository paper, which provides a first approach to nearly Kenmotsu manifolds. The purpose of this paper is to focus on nearly Kenmotsu manifolds and get some new results from it. We prove that for a nearly Kenmotsu manifold is locally isometric to warped product of real line and nearly K\"ahler manifold. Finally, we prove that there exist no nearly Kenmotsu hypersurface of nearly K\"ahler manifold. It is shown that a normal nearly Kenmotsu manifold is Kenmotsu manifold.
Keywords
Cite
@article{arxiv.1505.05462,
title = {On the existence of proper Nearly Kenmotsu manifolds},
author = {Irem Kupeli Erken and Piotr Dacko and Cengizhan Murathan},
journal= {arXiv preprint arXiv:1505.05462},
year = {2015}
}